537948007 has 8 divisors (see below), whose sum is σ = 566476160. Its totient is φ = 509441400.

The previous prime is 537948001. The next prime is 537948011. The reversal of 537948007 is 700849735.

537948007 = 3744² + 3745² + ... + 3781².

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 537948007 - 2¹¹ = 537945959 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (537948001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84382 + ... + 90532.

It is an arithmetic number, because the mean of its divisors is an integer number (70809520).

Almost surely, 2^537948007 is an apocalyptic number.

537948007 is a deficient number, since it is larger than the sum of its proper divisors (28528153).

537948007 is a wasteful number, since it uses less digits than its factorization.

537948007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10773.

The product of its (nonzero) digits is 211680, while the sum is 43.

The square root of 537948007 is about 23193.7061937069. The cubic root of 537948007 is about 813.2925005069.

The spelling of 537948007 in words is "five hundred thirty-seven million, nine hundred forty-eight thousand, seven".